 The fractions are simply fractions with algebraic expressions on the top, on the bottom or both. We treat them in the exact same way as we would normal fractions, so in this video we're going to get simplifying them and also adding a subtractive. In part 2 we'll look at solving. We can simplify by cancelling the numerator and the denominator equally, exactly as we do with numerical fractions. To simplify fully we may need to factorise either the numerator or the denominator or both. It might require factorising into one bracket, or maybe even factorising a quadratic into two brackets. We can use simplify these two fractions by factorising first, pause the video, factorise and then simplify and click play when you're ready to check. How did you get on? So that's simplifying. To add a subtract algebraic fraction we need to have the same denominator just as with normal fractions. Now let's have a look at an example. Let's multiply so that both fractions have the same denominator. So we multiply this one by x plus 3 and we multiply this one by x minus 1. As they have the same denominator we can now add them together, expand the brackets in the numerator and simplify fully. This is the correct, fully simplified answer. Or you could also write it like this, either one. So here's two for you to do. Pause the video, simplify fully and click play when you're ready to check your answers. Did you get them right? So that's simplifying algebraic fractions and adding and subtracting. In part two we'll look at solving with algebraic fractions. Again it doesn't require any new knowledge, just what we already know about fractions and everything we already know about algebra, like factorising.